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Finding the Fourth Proportional to 10,053.93, 15,071.18 and 3,809.64

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Solution

The fourth proportional to 10,053.93, 15,071.18 and 3,809.64 is: 5,710.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.93 : 15,071.18 = 3,809.64 : x
  2. Step 2: Convert to fraction form
    10,053.93/15,071.18 = 3,809.64/x
  3. Step 3: Cross multiply
    10,053.93x = 15,071.18 × 3,809.64
  4. Step 4: Simplify right side
    10,053.93x = 57,415,751.13
  5. Step 5: Solve for x
    x = 57,415,751.13/10,053.93
  6. Step 6: Final answer
    x = 5,710.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.